Flashcard Rigid Motion and Symmetry CCR

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

What are the three types of rigid motions?

Back

Translations, rotations, and reflections.

Front

What is the center of rotation?

Back

The fixed point around which a figure is rotated.

Front

What does it mean to rotate a figure 270° counterclockwise?

Back

To turn the figure 270 degrees in the opposite direction of the clock's hands, resulting in a new position.

Front

What is a pre-image?

Back

The original figure before any transformation is applied.

Front

What is an image in geometry?

Back

The resulting figure after a transformation has been applied to the pre-image.

Front

How do translations affect a figure?

Back

Translations slide a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is a line of symmetry?

Back

A line that divides a figure into two mirror-image halves.

Front

How many lines of symmetry does a butterfly typically have?

Back

1 line of symmetry.

Front

True or False: Rigid motions change the size of a figure.

Back

False, rigid motions do not change the size or shape of a figure.